1. Identify the parameter of interest. Describe it in the context of thesituation.2. Determine null value and state null hypothesis.3. State the appropriate alternative hypothesis.4. Give the formula for the computed value of the test statistic.5. State the rejection region for the selected level of significance, a.6. Compute sample quantities (if necessary), substitute into formula for thetest statistic value, and compute that value (z in this case).7. Decide whether or not the null hypothesis should be rejected and state theconclusion in the context of the original problem. (Either "reject" or "fail toreject the null hypothesis; never "accept" the null hypothesis. Next,explain what this means in terms of your specific situation, e.g., "concludethat the mean sulfur content is greater than 1.50%.") For the problems below, when asked to conduct the hypothesis test, please use the seven-stepprocess we have been using in class. Also, in step 7, it is very important to be clear in yourconclusion. There are three parts to this: evidence from your hypothesis test, the decision to rejector fail to reject the null hypothesis, and the conclusion in the context of the problem. For example,referring to the first example we did in Chapter 10, we stated the following"-1.03 is not less than -1.96, nor is it greater than +1.96, so we fail to reject Ho: Hi - 2 0, andconclude that there is no difference in mean yield strength between the two types of roof bolts."(Here, the evidence is-1.03 is not less than -1.96, nor is it greater than +1.96The decision isWe fail to reject Ho: H1-2 = 0The conclusion in the context of the problem isWe conclude that there is no difference in mean yield strength between the two types ofroof bolts)A study was performed to determine whether men and women differ in repeatability in6.assembling components on printed circuit boards. Random samples of 25 men and 21 women wereselected, and each subject assembled the units. The two sample standard deviations of assemblytime were smen = 0.98 minutes and swomen 1.02 minutes.(a) Use the seven-step hypothesis test that we have been using in class to determine if men andwomen differ in repeatability for this assembly task. Use a = 0.02 and state any necessaryassumptions about the underlying distribution of the data. Do not use the P-Value.(b) Determine a 98% confidence interval on the ratio of the two variances.interpretation of the intervalProvide an

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Asked Nov 15, 2019
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THIS NOT GRADED ASSIGIMENT , IT IS AN OLD EXAM QUESTION.

1. Identify the parameter of interest. Describe it in the context of the
situation.
2. Determine null value and state null hypothesis.
3. State the appropriate alternative hypothesis.
4. Give the formula for the computed value of the test statistic.
5. State the rejection region for the selected level of significance, a.
6. Compute sample quantities (if necessary), substitute into formula for the
test statistic value, and compute that value (z in this case).
7. Decide whether or not the null hypothesis should be rejected and state the
conclusion in the context of the original problem. (Either "reject" or "fail to
reject the null hypothesis; never "accept" the null hypothesis. Next,
explain what this means in terms of your specific situation, e.g., "conclude
that the mean sulfur content is greater than 1.50%.")
help_outline

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1. Identify the parameter of interest. Describe it in the context of the situation. 2. Determine null value and state null hypothesis. 3. State the appropriate alternative hypothesis. 4. Give the formula for the computed value of the test statistic. 5. State the rejection region for the selected level of significance, a. 6. Compute sample quantities (if necessary), substitute into formula for the test statistic value, and compute that value (z in this case). 7. Decide whether or not the null hypothesis should be rejected and state the conclusion in the context of the original problem. (Either "reject" or "fail to reject the null hypothesis; never "accept" the null hypothesis. Next, explain what this means in terms of your specific situation, e.g., "conclude that the mean sulfur content is greater than 1.50%.")

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For the problems below, when asked to conduct the hypothesis test, please use the seven-step
process we have been using in class. Also, in step 7, it is very important to be clear in your
conclusion. There are three parts to this: evidence from your hypothesis test, the decision to reject
or fail to reject the null hypothesis, and the conclusion in the context of the problem. For example,
referring to the first example we did in Chapter 10, we stated the following
"-1.03 is not less than -1.96, nor is it greater than +1.96, so we fail to reject Ho: Hi - 2 0, and
conclude that there is no difference in mean yield strength between the two types of roof bolts."
(Here, the evidence is
-1.03 is not less than -1.96, nor is it greater than +1.96
The decision is
We fail to reject Ho: H1-2 = 0
The conclusion in the context of the problem is
We conclude that there is no difference in mean yield strength between the two types of
roof bolts)
A study was performed to determine whether men and women differ in repeatability in
6.
assembling components on printed circuit boards. Random samples of 25 men and 21 women were
selected, and each subject assembled the units. The two sample standard deviations of assembly
time were smen = 0.98 minutes and swomen 1.02 minutes.
(a) Use the seven-step hypothesis test that we have been using in class to determine if men and
women differ in repeatability for this assembly task. Use a = 0.02 and state any necessary
assumptions about the underlying distribution of the data. Do not use the P-Value.
(b) Determine a 98% confidence interval on the ratio of the two variances.
interpretation of the interval
Provide an
help_outline

Image Transcriptionclose

For the problems below, when asked to conduct the hypothesis test, please use the seven-step process we have been using in class. Also, in step 7, it is very important to be clear in your conclusion. There are three parts to this: evidence from your hypothesis test, the decision to reject or fail to reject the null hypothesis, and the conclusion in the context of the problem. For example, referring to the first example we did in Chapter 10, we stated the following "-1.03 is not less than -1.96, nor is it greater than +1.96, so we fail to reject Ho: Hi - 2 0, and conclude that there is no difference in mean yield strength between the two types of roof bolts." (Here, the evidence is -1.03 is not less than -1.96, nor is it greater than +1.96 The decision is We fail to reject Ho: H1-2 = 0 The conclusion in the context of the problem is We conclude that there is no difference in mean yield strength between the two types of roof bolts) A study was performed to determine whether men and women differ in repeatability in 6. assembling components on printed circuit boards. Random samples of 25 men and 21 women were selected, and each subject assembled the units. The two sample standard deviations of assembly time were smen = 0.98 minutes and swomen 1.02 minutes. (a) Use the seven-step hypothesis test that we have been using in class to determine if men and women differ in repeatability for this assembly task. Use a = 0.02 and state any necessary assumptions about the underlying distribution of the data. Do not use the P-Value. (b) Determine a 98% confidence interval on the ratio of the two variances. interpretation of the interval Provide an

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Expert Answer

Step 1

(a)

Let  is the variance assembly time for men and  the variance assembly time for women.

The hypotheses are given below:

Null hypothesis: H, 0 o
Alternative hypothesis: H1 oo
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Null hypothesis: H, 0 o Alternative hypothesis: H1 oo

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Step 2

Step-by-step procedure to obtain the test statistic and p-value using MINITAB software:

Step 1: Choose Stat > Basic Statistics > 2 Variance.

Step 2: Under Data, choose Sample standard deviation.

Step 3: In First, enter 25 under Sample size.

Step 4: In First, enter 0.98 under Standard deviation

Step 5: In Second, enter 21 under Sample size.

Step 6: In Second, enter 1.02 under Standard deviation

Step 7: Check Options, enter Confidence level as 98.0.

Step 8: In Hypothesized ratio Sample 1 variance/ Sample 2 variance

Step 9: Choose not equal in alternative.

Step 10: Click OK in all dialog boxes.

Output obtained using MINITAB software is given below:

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Step 3

From the output, the test statistic 0.92 and p-value is 0.843.

...
If p-value significance level, reject the null hypothesis.
If p-value>significance level, do not reject the null hypothesis
help_outline

Image Transcriptionclose

If p-value significance level, reject the null hypothesis. If p-value>significance level, do not reject the null hypothesis

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